What is the common difference of the arithmetic sequence graphed below?
1 answer:
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Answer:
Option B. $900
Step-by-step explanation:
Let
y ----> the value of the car
x ----> the time in years
we know that
The linear function in slope intercept form is equal to
where
m is the slope or the depreciation rate
b is the y-intercept or initial value of the car
we have
The y-intercept or initial value is equal to
we have the ordered pair (5,500)
substitute the value of x and the value of y of the ordered pair in the linear equation and solve for m
Is negative because is a decreasing function
The linear equation is equal to
therefore
It would depreciate $900 each year.
Actually Welcome to the Concept of the Similarities.
Since here, first figure is a Triangle, hence similarity of a triangle is given by ratio of it sides and make them equate,
hence for,
1.) 16/12 = x/9 ===> 4/3 = x/9 ===> x = 9*4/3 ==> x = 36/3
hence the value of x is 12 , ===> x = 12 .
2.) here,in the case of a Reactangle the relation is such that, length = 2* breadth,
hence we apply the relation,
x = 2*4.5 ===> x = 9 units.